  # Business - Annual Profit Function

by Ruby
(Alto)

Scenario:Annual profit in thousands of dollars is given by the function, P(x) = 12x - 100, where x is the number of items sold in thousands, x ≥ 10.

1.describe the meaning of the number 12 in the formula, in terms of its meaning in relation to the profit.
2.describe the meaning of the number -100 in the formula, in terms of its meaning in relation to the profit.
3.find the profit for 5 different values of x
4.graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a straight line in Excel or another graphing utility. Insert the graph in a Word file and attach the graph in a Word file to the class DB thread.
5.will this profit function have a maximum, if so, what is it?
6.what steps should the company take to prepare for your answer to part 5?

### Comments for Business - Annual Profit Function

 May 18, 2012 Annual Profit Function by: Staff Part I Question: by Ruby (Alto) Scenario: Annual profit in thousands of dollars is given by the function, P(x) = 12x - 100, where x is the number of items sold in thousands, x ≥ 10. 1.describe the meaning of the number 12 in the formula, in terms of its meaning in relation to the profit. 2.describe the meaning of the number -100 in the formula, in terms of its meaning in relation to the profit. 3.find the profit for 5 different values of x 4.graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a straight line in Excel or another graphing utility. Insert the graph in a Word file and attach the graph in a Word file to the class DB thread. 5.will this profit function have a maximum, if so, what is it? 6.what steps should the company take to prepare for your answer to part 5? Answer: Scenario: Annual profit in thousands of dollars is given by the function, P(x) = 12x - 100, where x is the number of items sold in thousands, x ≥ 10. 1.describe the meaning of the number 12 in the formula, in terms of its meaning in relation to the profit. The “12” is the gross revenue for each 1000 units sold 2.describe the meaning of the number -100 in the formula, in terms of its meaning in relation to the profit. The -100 is the annual fixed expense for the company. It remains the same regardless of the number of units sold. 3.find the profit for 5 different values of x x            P 15           80 20           140 25           200 30           260 35           320 ---------------------------------------------